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Finding the Third Proportional to 261,808 and 565,389

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Solution

The third proportional to 261,808 and 565,389 is: 1,220,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,808 : 565,389 = 565,389 : x
  2. Step 2: Convert to fraction form
    261,808/565,389 = 565,389/x
  3. Step 3: Cross multiply
    261,808x = 565,389 × 565,389
  4. Step 4: Simplify right side
    261,808x = 319,664,721,321
  5. Step 5: Solve for x
    x = 319,664,721,321/261,808
  6. Step 6: Final answer
    x = 1,220,989.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.